Answer:

Explanation:
Given that Kim wanted to create a function that modeled an exponential function with base of 7
So the appropriate function would be

which is exponential with base 7, passing through (0,1) and have range as only positive values of y.
y=0 will be an asymptote for this graph.
Other functions are wrong because
is a polynomial funciton and not exponential
Similarly
is a logrithmic funciton and the next also
Hence right answer is option 2.